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Various social, financial, biological and technological systems can be modeled by interdependent networks. It has been assumed that in order to remain functional, nodes in one network must receive the support from nodes belonging to…

Physics and Society · Physics 2017-12-01 M. A. Di Muro , L. D. Valdez , H. H. A. Rêgo , S. V. Buldyrev , H. E. Stanley , L. A. Braunstein

Existing or planned power grids need to evaluate survivability under extreme events, like a number of peak load overloading conditions, which could possibly cause system collapses (i.e. blackouts). For realistic extreme events that are…

Systems and Control · Electrical Eng. & Systems 2026-03-13 Qinghua Ma , Reetam Sen Biswas , Denis Osipov , Guannan Qu , Soummya Kar , Shimiao Li

Real-world network systems, for example, power grids, are critical to modern economies. Due to the increasing system scale and complex dependencies inside of these networks, system failures can widely spread and cause severe damage. We have…

Physics and Society · Physics 2019-12-09 Jian Zhou , Stamatis Tsianikas , David W. Coit , Frank A. Felder

The topology of the network of load transmitting connections plays an essential role in the cascading failure dynamics of complex systems driven by the redistribution of load after local breakdown events. In particular, as the network…

Disordered Systems and Neural Networks · Physics 2023-11-21 G. Pál , Zs. Danku , A. Batool , V. Kádár , N. Yoshioka , N. Ito , G. Ódor , F. Kun

We study synchronous phenomena of a coarse-grained power grid model, the swing equation, on small-world networks. We show that its steady state, which stands for the normal operation of the power systems, can be realized even if the phases…

Adaptation and Self-Organizing Systems · Physics 2015-01-29 Eiichi Sasaki , Masayuki Ohzeki , Yoshito Ohta

In this paper, a methodology inspired on bond and site percolation methods is applied to the estimation of the resilience against failures in power grids. Our approach includes vulnerability measures with both dynamical and structural…

Adaptation and Self-Organizing Systems · Physics 2020-10-28 Cristian Camilo Galindo-González , David Angulo-García , Gustavo Osorio

We investigate the stability problem for discrete-time stochastic switched linear systems under the specific scenarios where information about the switching patterns and the probability of switches are not available. Our analysis focuses on…

Systems and Control · Computer Science 2018-04-23 Ahmet Cetinkaya , Hideaki Ishii , Tomohisa Hayakawa

In order to mitigate cascading failure blackout risks in power systems, the critical components whose failures lead to high blackout risks should be identified. In this paper, such critical components are identified by the state-failure…

Physics and Society · Physics 2020-01-16 Linzhi Li , Hao Wu , Yonghua Song , Yi Liu

Transmission line failures in power systems propagate and cascade non-locally. In this work, we propose an adaptive control strategy that offers strong guarantees in both the mitigation and localization of line failures. Specifically, we…

Systems and Control · Electrical Eng. & Systems 2022-05-16 Chen Liang , Linqi Guo , Alessandro Zocca , Steven H. Low , Adam Wierman

Climate extremes, such as hurricanes, combined with large-scale integration of environment-sensitive renewables, could exacerbate the risk of widespread power outages. We introduce a coupled climate-energy model for cascading power outages,…

Systems and Control · Electrical Eng. & Systems 2024-07-03 Luo Xu , Ning Lin , H. Vincent Poor , Dazhi Xi , A. T. D. Perera

We introduce a new class of (dynamical) systems that inherently capture cascading effects (viewed as consequential effects) and are naturally amenable to combinations. We develop an axiomatic general theory around those systems, and guide…

Discrete Mathematics · Computer Science 2019-03-14 Elie M. Adam , Munther A. Dahleh , Asuman Ozdaglar

This work addresses the problem of transient stabilization of a power grid, following a destabilizing disturbance. The model considered is the cascade interconnection of seven New England test models with the disturbance (e.g., a powerline…

Optimization and Control · Mathematics 2018-03-29 Milan Korda , Yoshihiko Susuki , Igor Mezić

Networks in nature do not act in isolation but instead exchange information, and depend on each other to function properly. An incipient theory of Networks of Networks have shown that connected random networks may very easily result in…

Cascading failures are a common phenomenon in complex networked systems where failures at only a few nodes may trigger a process of sequential failure. We applied a flow redistribution model to investigate the robustness against cascading…

Networking and Internet Architecture · Computer Science 2022-03-03 I-Cheng Lin , Carlee Joe-Wong , Osman Yagan

We study the dynamical stability of pulse coupled networks of leaky integrate-and-fire neurons against infinitesimal and finite perturbations. In particular, we compare current versus fluctuations driven networks, the former (latter) is…

Disordered Systems and Neural Networks · Physics 2015-06-18 David Angulo-Garcia , Alessandro Torcini

This paper presents an investigation into load dynamics that potentially cause voltage instability or collapse in distribution networks. Through phasor-based, time domain simulations of a dynamic load (DL) model from the literature, we show…

Systems and Control · Electrical Eng. & Systems 2021-08-06 Ruth Kravis , Ian Petersen , Elizabeth Ratnam

This paper is concerned with the stability analysis of continuous-time switched systems with a random switching signal. The switching signal manifests its characteristics with that the dwell time in each subsystem consists of a fixed part…

Systems and Control · Computer Science 2016-11-18 Junlin Xiong , James Lam , Zhan Shu , Xuerong Mao

In the electrical grid, the distribution system is themost vulnerable to severe weather events. Well-placed and coordinatedupgrades, such as the combination of microgrids, systemhardening and additional line redundancy, can greatly reduce…

Computational Engineering, Finance, and Science · Computer Science 2017-05-24 Arthur Barnes , Harsha Nagarajan , Emre Yamangil , Russell Bent , Scott Backhaus

Cascading failure studies help assess and enhance the robustness of power systems against severe power outages. Onset time is a critical parameter in the analysis and management of power system stability and reliability, representing the…

Signal Processing · Electrical Eng. & Systems 2025-03-04 Samita Rani Pani , Pallav Kumar Bera , Rajat Kanti Samal

Complex networks have recently attracted much interest due to their prevalence in nature and our daily lives [1, 2]. A critical property of a network is its resilience to random breakdown and failure [3-6], typically studied as a…

Physics and Society · Physics 2016-01-08 James P. Bagrow , Sune Lehmann , Yong-Yeol Ahn